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A mass m is suspended by a massless spring of spring constant k and unstretched length b. The suspension point has a constant upward acceleration a0. Gravity is acting vertically downward. Find the Lagrangian and Hamiltonian functions and obtain Hamilton's equations of motion.
question1a 1.0-cm-tall object is 20 rm cm in front of a converging lens that has a 10 rm cm focal length. utilize ray
A 2030- test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force so that its vertical velocity as a function of time is given by, What was the initial thrust due to the fuel
A disk of radius 2.3 cm has a surface charge density of 6.2 µC/m2 on its upper face. What is the magnitude of the electric field produced by the disk
A dialectric constant of 3 is inserted into a parallel capacitor, filling one-half of the volume as shown in the figure. If the capacitance of the capacitor without the dialectric is C,
A proton is moving in the uniform electric field of part A. At point A, the velocity of the proton is 1.95×104{\rm m/s} , again pointed towards the east. What is the speed of the proton at point B
For a dispersing prism with an index of 1.5 and an apex angle of 60 degrees, find the minimum angle deviation of light through the prism
IP Halley's Comet Halley's Comet, which passes around the Sun every 78 years, has an elliptical orbit. When closest to the Sun (perihelion) it is at a distance of 8.823 x 10^10 m and moves with a speed of 54.6 km/s. The greatest distance between Hall..
An external force moves a 5.4-kg box at a constant speed up a frictionless ramp. The force acts in a direction parallel to the ramp. Calculate the work done on the box
A 55.8 kg person rides a sled 15 meters along a hillside that is inclined at 25 degrees above the horizontal. what is the person's speed upon reaching the bottom
A TV remote control emits IR light. If the detector on the TV set is not to react to visible light, What is the shortest-wavelength light that can strike silicon without causing electrons to jump from the valence band to the conduction band
A solid spherical ball of mass 1.3 kg and radius 0.15 m rolls along a smooth, level surface with a speed of 2 m/s. How far up the plane does the ball go
Two balls are released simultaneously from the top of a tall building. Ball A simply dropped with no initial velocity, and Ball B is thrown downward with and initial velocity of 12 m/s.
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